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zhenek [66]
2 years ago
12

What number must be added to the expression below to complete the square?

Mathematics
2 answers:
DedPeter [7]2 years ago
8 0

Answer:

1/4

Step-by-step explanation:

To complete the square, use the formula (b/2)^2

The Quadratic Formula is: a+bx+c

thus a = x^2, b = -1

You then plug in the numbers in the formula above

(b/2)^2 = (-1/2)^2 = (1/2)^2 =1/4

stiv31 [10]2 years ago
7 0

D. 1/4

Explanation:

a perfect square is written in the form

(x+a)^2 = x^2 + 2ax +a^2 (1)

In our problem, we have this perfect square:

x^2 - x + C (2)

with C being unknown. However, by comparing (1) and (2), we know that

2a=-1

So, we find

a=-\frac{1}{2}

and therefore, the missing term must be

a^2 = \frac{1}{4}

so the complete square is

x^2 -x +\frac{1}{4}

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Factor the expression below.
Genrish500 [490]

Answer:

A. (6x + 7)(6x - 7)

Step-by-step explanation:

use difference of squares, which says a^2 - b^2 =(a+b)(a-b)

take the square roots of the two numbers, 6x and 7, and use them as a and b

8 0
1 year ago
Find the area of the figure and type your result in the empty box. 4 cm 4 cm​
Vinil7 [7]
4 cm x 4 cm would make a 16 cm area
just multiply 4 and 4 together to get the answer!

16 cm area

please mark the brainliest!
5 0
2 years ago
Which of the following represents 3x-5y+10=0 written in slope-intercept form?
taurus [48]

For this case we have that by definition, the equation of a line in the slope-intercept form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

We have the following equation:

3x-5y + 10 = 0

We manipulate algebraically:

We subtract 10 from both sides of the equation:

3x-5y = -10

We subtract 3x from both sides of the equation:

-5y = -3x-10

We multiply by -1 on both sides of the equation:

5y = 3x + 10

We divide between 5 on both sides of the equation:

y = \frac {3} {5} x + \frac {10} {5}\\y = \frac {3} {5} x + 2

Thus, the equation in the slope-intercept form is y = \frac {3} {5} x + 2

Answer:

y = \frac {3} {5} x + 2

5 0
3 years ago
what is the surface area of a square pyramid with base side lengths of 10 inches and a slant height of 14 inches
Pavlova-9 [17]

Answer:

The surface area is 380\ in^{2}  

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(l)]

where

b=10\ in

l=14\ in -----> the slant height

substitute the values

SA=10^{2}+4[\frac{1}{2}(10)(14)]

SA=380\ in^{2}    

5 0
2 years ago
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Ilia_Sergeevich [38]

Answer:

D = 13 units

Step-by-step explanation:

<u><em>Using Distance Formula to find the length.</em></u>

Distance Formula = \sqrt{(x2-x1)^2+(y2-y1)^2}

D = \sqrt{(2+3)^2+(-5-7)^2}

D = \sqrt{(5)^2+(-12)^2}

D = \sqrt{25+144}

D = \sqrt{169}

D = 13 units

8 0
3 years ago
Read 2 more answers
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